What is the safe heel size for a 60kg woman on a vinyl kitchen floor?

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Physics "pressure" question

Homework Statement



The vinyl plastic floor covering on a kitchen floor has a compressive yield stress of 3.5 MPa. A lady of mass 60 kg wears high-heeled shoes. What is the smallest area of the sole of a heel which will not permanently damage the floor?
 
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Can you show some attempt at an answer and then we can give you some help.
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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